I wouldn't have guessed that he was 60, more like early 50s. The Biochemist (who adores Rickman in all roles, not just as Snape) complained when he was cast as Snape that he is at least 20 years too old, given the Harry Potter timeline. Her general complaint is that everyone cast to be a contemporary of Harry's parents is too old -- Snape, Sirius, Remus, Peter Pettigrew. They are supposed to be mid to late 30s, but all look to be mid to late 40s at least.